Jeu de taquin, bumping routes, evacuation routes

Łukasz Maślanka, Piotr Śniady.Limit shapes of evacuation and jeu de taquin paths in random square tableaux.
Preprint arXiv:1911.08143
Initial submission of the extended abstract for FPSAC 2020 conference.
A full version of this extended abstract will be available soon as a separate paper

Agnieszka Czyżewska-Jankowska, Piotr Śniady.Jack characters and enumeration of maps
Séminaire Lotharingien de Combinatoire, 78B.5 (2017), 12 pp.Proceedings of The 29th international conference on Formal Power Series and Algebraic Combinatorics, London, 2017
Also available as arXiv:1611.02446